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Birotons and Dark Hierarchies in the Fractional Quantum Hall Effect

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Bulletin of the Russian Academy of Sciences: Physics Aims and scope

Abstract

A computational scheme is developed to determine the energies of neutral excitations in fractional states of the quantum Hall effect. The fractional states are brought into a general hierarchical system (a Farey number hierarchy structure). It is shown that in addition to the familiar Laughlin–Jane hierarchy of fractional states, there are other dark hierarchies of the fractional quantum Hall effect that are not observed experimentally in the most highly mobile samples but can have a strong impact on the thermodynamics and spectral characteristics of fractional quantum Hall effect states. The connection between the dark hierarchies of the fractional quantum Hall effect and the existing experimental data is considered.

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Funding

This work was supported by the Russian Science Foundation, project no. 18-12-00246.

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Authors and Affiliations

  1. Institute of Solid State Physics, Russian Academy of Sciences, 142432, Chernogolovka, Moscow oblast, Russia

    L. V. Kulik & A. B. Van’kov

Authors
  1. L. V. Kulik
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  2. A. B. Van’kov
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Correspondence to L. V. Kulik.

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The authors declare they have no conflicts of interest.

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Translated by N. Petrov

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Kulik, L.V., Van’kov, A.B. Birotons and Dark Hierarchies in the Fractional Quantum Hall Effect. Bull. Russ. Acad. Sci. Phys. 87, 138–140 (2023). https://doi.org/10.3103/S1062873822700800

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  • DOI: https://doi.org/10.3103/S1062873822700800

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